English

Free Boson Realization of $U_q(\widehat{sl_N})$

High Energy Physics - Theory 2015-06-26 v1

Abstract

We construct a realization of the quantum affine algebra Uq(slN^)U_q(\widehat{sl_N}) of an arbitrary level kk in terms of free boson fields. In the q ⁣ ⁣1q\!\rightarrow\! 1 limit this realization becomes the Wakimoto realization of slN^\widehat{sl_N}. The screening currents and the vertex operators(primary fields) are also constructed; the former commutes with Uq(slN^)U_q(\widehat{sl_N}) modulo total difference, and the latter creates the Uq(slN^)U_q(\widehat{sl_N}) highest weight state from the vacuum state of the boson Fock space.

Keywords

Cite

@article{arxiv.hep-th/9305146,
  title  = {Free Boson Realization of $U_q(\widehat{sl_N})$},
  author = {H. Awata and S. Odake and J. Shiraishi},
  journal= {arXiv preprint arXiv:hep-th/9305146},
  year   = {2015}
}

Comments

24 pages, LaTeX, RIMS-924, YITP/K-1018